Unit 1 Sequences & Functions and Angles
Intent
The intention of this unit is to secure and build upon knowledge from Key Stage 2 and to introduce new concepts that lay the foundations of key concepts that will underpin units in Year 8 and Year 9 such as
Algebraic manipulation using inverse operations
We want all students to become keen problem solvers and agile mathematical reasoners. This unit in particular develops these skills with
Multiple step angle reasoning problems
Formal deductive reasoning with angles.
Implementation
For each strand in the unit students begin with lessons refreshing primary knowledge before new concepts are introduced. At the end of each strand there are revision and mastery lessons to consolidate and ensure all students have picked up on new ideas.
From the 3rd week of the unit students will complete a weekly knowledge check so they can measure how their knowledge and expertise is building before the test.
During this unit there will be two longer written homework tasks which include a skills check as well as problem solving questions. Students will have an opportunity to follow-up and improve their work.
Impact
The impact of this unit of work will be measured through a 45 minute written assessment. The assessment will feature questions similar to the skills check and homework tasks. The assessment will cover every aspect of the unit of work and using the knowledge organiser together with this website is a great way to prepare for the test.
Topics covered in this unit:
Star / Star*
10a Continue a repeating sequence of colours or shapes
11a Recognise and name simple numerical sequences like even, odd or times tables from 1 to 5
13a Continuing arithmetic sequences
14a Filling in gaps in a sequence or on a number line, including steps of 2, 3, 5, 10, 50, 100
Core
16a Writing out a sequence from a term-to-term rule
23a Recognising arithmetic, geometric, quadratic or Fibonacci patterns and continuing sequences
26a Recognise and continue sequences of patterns or diagrams
44a Using the nth term rule of a sequence to find a given term
46a Finding the nth term of an arithmetic sequence
17a Evaluating the output of multi-step function machines
21a Determine the functions in 1/2 step function machines from a list of inputs and outputs
22a Use inverse operations to find the input of function machines
28a Using a two-step formula written in words both forwards and backwards
38a Using an algebraic formula both forwards and backwards
49a Write algebraic formulae from a written description
55a Changing the subject of a formula by using 1/2 inverse operations
26s Use the sum of angles at a point or on a line or vertically opposite to calculate angles
32s Know and use the sum of angles in a triangle or quadrilateral to work out angles